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Simplifying 3b2 = 24b Solving 3b2 = 24b Solving for variable 'b'. Reorder the terms: -24b + 3b2 = 24b + -24b Combine like terms: 24b + -24b = 0 -24b + 3b2 = 0 Factor out the Greatest Common Factor (GCF), '3b'. 3b(-8 + b) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'b' equal to zero and attempt to solve: Simplifying b = 0 Solving b = 0 Move all terms containing b to the left, all other terms to the right. Simplifying b = 0Subproblem 2
Set the factor '(-8 + b)' equal to zero and attempt to solve: Simplifying -8 + b = 0 Solving -8 + b = 0 Move all terms containing b to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + b = 0 + 8 Combine like terms: -8 + 8 = 0 0 + b = 0 + 8 b = 0 + 8 Combine like terms: 0 + 8 = 8 b = 8 Simplifying b = 8Solution
b = {0, 8}
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